**
Let a, b, and x be positive real numbers such that neither a nor b equals 1
(remember x must be greater than 0). Then can be converted to
the base b by the formula **

**Problem 1:** Find .

**Answer:** -11.191753

**Solution 1:** Convert to base 10 logarithms.

**Check:** Let's check your answer. If , then the answer is correct.

is not exact
but close enough for our check. Remember why it is not exact in the check.
the -11.18900388 was rounded; therefore, the answer won't be exact.

**Solution 2:** Convert to base e logarithms.

**If you would like to see another problem, click on Next Problem.**

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour